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McGraw Hill Glencoe Algebra 1, 2012

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McGraw Hill Glencoe Algebra 1, 2012 View details

5. Inequalities Involving Absolute Value

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Exercise 12 Page 314

Absolute values are always non-negative.

Solution Set: ∅
Graph:

Practice makes perfect

All absolute value expressions are greater than or equal to zero. It follows then that no absolute value expressions can be less than or equal to a negative number. |m+4|≥ 0 ⇒ |m+4| ≮ - 2

This means there is no value of m that will satisfy the inequality. Therefore, the solution is an empty set. ∅ We can represent this graphically on a number line by showing that no values are included in the solution set, so no values are shaded.

Subchapter links

Check Your Understanding p.314

Practice and Problem Solving p.314-315

H.O.T. Problems p.315

Standardized Test Practice p.316

Spiral Review p.316

Skills Review p.316